Concept explainers
a.
To find:When the particle is moving toward the right and the left.
a.
Answer to Problem 12E
Particle is moving Right 0 to 2 and left 2 to 4.
Explanation of Solution
Given: A particle is moving along a horizontal straight line.
The particle is moving towards the right derivatives is positive, which means that the function is increasing. In this curve it is increasing from 0 to 2 and from 4 to. It is moving to the left from 2 to 4.
b.
To find: When the particle is positive acceleration and negative acceleration.
b.
Answer to Problem 12E
Positive acceleration in 3 to 6 and negative acceleration in 0 to 3.
Explanation of Solution
Given:
The particle has positive acceleration when the second derivative is positive, which means that the function is concave up and has a positive acceleration from 3 to 6 and has a negative acceleration from 0 to 3.
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning